In Exercises 55 through 65, show that the given matrix A is invertible, and find the

Chapter 2, Problem 55

(choose chapter or problem)

In Exercises 55 through 65, show that the given matrix A is invertible, and find the inverse. Interpret the linear transformation T(x) Ax and the inverse transformation T~l(y) = A~ly geometrically. Interpret det A geometrically. In your figure, show the angle 0 and the vectors v and w introduced in Theorem 2.4.10.

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